Affiliation:
1. Faculty of Electrical Engineering , Białystok University of Technology , Wiejska 45D , Białystok 15-351 , Poland
Abstract
Abstract
The global (absolute) stability of nonlinear systems with negative feedbacks and positive not necessary asymptotically stable linear parts is addressed. The characteristics
u
=
f
(
e
)
u = f(e)
of the nonlinear parts satisfy the condition
k
1
e
≤
f
(
e
)
≤
k
2
e
{k_1}e \le f(e) \le {k_2}e
for some positive
k
1
{k_1}
,
k
2
{k_2}
. It is shown that the nonlinear systems are globally asymptotically stable if the Nyquist plots of the positive linear parts are located in the right-hand side of the circles
−
1
k
1
,
−
1
k
2
\left( { - {1 \over {{k_1}}}, - {1 \over {{k_2}}}} \right)
.
Subject
Applied Mathematics,General Physics and Astronomy,Mechanics of Materials,Engineering (miscellaneous),Modeling and Simulation,Computational Mechanics,Statistical and Nonlinear Physics
Cited by
11 articles.
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